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Finding the Fourth Proportional to 26,770.02, 40,161.40 and 9,240

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Solution

The fourth proportional to 26,770.02, 40,161.40 and 9,240 is: 13,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,770.02 : 40,161.40 = 9,240 : x
  2. Step 2: Convert to fraction form
    26,770.02/40,161.40 = 9,240/x
  3. Step 3: Cross multiply
    26,770.02x = 40,161.40 × 9,240
  4. Step 4: Simplify right side
    26,770.02x = 371,091,336
  5. Step 5: Solve for x
    x = 371,091,336/26,770.02
  6. Step 6: Final answer
    x = 13,862.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.